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Finding the Fourth Proportional to 1,424.70, 2,136.42 and 450.63

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Solution

The fourth proportional to 1,424.70, 2,136.42 and 450.63 is: 675.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.70 : 2,136.42 = 450.63 : x
  2. Step 2: Convert to fraction form
    1,424.70/2,136.42 = 450.63/x
  3. Step 3: Cross multiply
    1,424.70x = 2,136.42 × 450.63
  4. Step 4: Simplify right side
    1,424.70x = 962,734.94
  5. Step 5: Solve for x
    x = 962,734.94/1,424.70
  6. Step 6: Final answer
    x = 675.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.